Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248c |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10499328 = 28 · 33 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24303,1458270] |
[a1,a2,a3,a4,a6] |
j |
229667553058032/1519 |
j-invariant |
L |
3.1331010767613 |
L(r)(E,1)/r! |
Ω |
1.5665505383813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15624d2 124992dw2 31248d2 |
Quadratic twists by: -4 8 -3 |